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Math
CalculusCalculus10th Edition

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Chapter 8.3, Problem 53E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem

Finding an Indefinite Integral In Exercises 49-58, find the indefinite integral. Use a computer algebra system to confirm your result.

∫ 1 sec x tan x d x

To determine

To calculate: The indefinite integral and verify the result using computer algebra system.

Explanation

Given: ∫1secxtanxdx

Calculation:

Consider the integral,

∫1secxtanxdx

Rewrite as an integral,

∫1secxtanxdx=∫cosxtanxdx=∫cosxsinxcosxdx=∫cos2xsinxdx=∫1−sin2xsinxdx

Separate the numerator,

∫1secxtanxdx=∫(1sinx−<

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Chapter 8.3,
Problem 52E
Chapter 8.3,
Problem 54E
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Sect-8.1 P-1ESect-8.1 P-2ESect-8.1 P-3ESect-8.1 P-4ESect-8.1 P-5ESect-8.1 P-6ESect-8.1 P-7ESect-8.1 P-8ESect-8.1 P-9ESect-8.1 P-10E
Sect-8.1 P-11ESect-8.1 P-12ESect-8.1 P-13ESect-8.1 P-14ESect-8.1 P-15ESect-8.1 P-16ESect-8.1 P-17ESect-8.1 P-18ESect-8.1 P-19ESect-8.1 P-20ESect-8.1 P-21ESect-8.1 P-22ESect-8.1 P-23ESect-8.1 P-24ESect-8.1 P-25ESect-8.1 P-26ESect-8.1 P-27ESect-8.1 P-28ESect-8.1 P-29ESect-8.1 P-30ESect-8.1 P-31ESect-8.1 P-32ESect-8.1 P-33ESect-8.1 P-34ESect-8.1 P-35ESect-8.1 P-36ESect-8.1 P-37ESect-8.1 P-38ESect-8.1 P-39ESect-8.1 P-40ESect-8.1 P-41ESect-8.1 P-42ESect-8.1 P-43ESect-8.1 P-44ESect-8.1 P-45ESect-8.1 P-46ESect-8.1 P-47ESect-8.1 P-48ESect-8.1 P-49ESect-8.1 P-50ESect-8.1 P-51ESect-8.1 P-52ESect-8.1 P-53ESect-8.1 P-54ESect-8.1 P-55ESect-8.1 P-56ESect-8.1 P-57ESect-8.1 P-58ESect-8.1 P-59ESect-8.1 P-60ESect-8.1 P-61ESect-8.1 P-62ESect-8.1 P-63ESect-8.1 P-64ESect-8.1 P-65ESect-8.1 P-66ESect-8.1 P-67ESect-8.1 P-68ESect-8.1 P-69ESect-8.1 P-70ESect-8.1 P-71ESect-8.1 P-72ESect-8.1 P-73ESect-8.1 P-74ESect-8.1 P-75ESect-8.1 P-76ESect-8.1 P-77ESect-8.1 P-78ESect-8.1 P-79ESect-8.1 P-80ESect-8.1 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P-7ESect-8.5 P-8ESect-8.5 P-9ESect-8.5 P-10ESect-8.5 P-11ESect-8.5 P-12ESect-8.5 P-13ESect-8.5 P-14ESect-8.5 P-15ESect-8.5 P-16ESect-8.5 P-17ESect-8.5 P-18ESect-8.5 P-19ESect-8.5 P-20ESect-8.5 P-21ESect-8.5 P-22ESect-8.5 P-23ESect-8.5 P-24ESect-8.5 P-25ESect-8.5 P-26ESect-8.5 P-27ESect-8.5 P-28ESect-8.5 P-29ESect-8.5 P-30ESect-8.5 P-31ESect-8.5 P-32ESect-8.5 P-33ESect-8.5 P-34ESect-8.5 P-35ESect-8.5 P-36ESect-8.5 P-37ESect-8.5 P-38ESect-8.5 P-39ESect-8.5 P-40ESect-8.5 P-41ESect-8.5 P-42ESect-8.5 P-43ESect-8.5 P-44ESect-8.5 P-45ESect-8.5 P-46ESect-8.5 P-47ESect-8.5 P-48ESect-8.5 P-49ESect-8.5 P-50ESect-8.5 P-51ESect-8.5 P-52ESect-8.6 P-1ESect-8.6 P-2ESect-8.6 P-3ESect-8.6 P-4ESect-8.6 P-5ESect-8.6 P-6ESect-8.6 P-7ESect-8.6 P-8ESect-8.6 P-9ESect-8.6 P-10ESect-8.6 P-11ESect-8.6 P-12ESect-8.6 P-13ESect-8.6 P-14ESect-8.6 P-15ESect-8.6 P-16ESect-8.6 P-17ESect-8.6 P-18ESect-8.6 P-19ESect-8.6 P-20ESect-8.6 P-21ESect-8.6 P-22ESect-8.6 P-23ESect-8.6 P-24ESect-8.6 P-25ESect-8.6 P-26ESect-8.6 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P-15PSCh-8 P-16PSCh-8 P-17PSCh-8 P-18PSCh-8 P-19PSCh-8 P-20PSCh-8 P-21PSCh-8 P-22PS

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Evaluate the integral. 4. x29x2dx

Calculus: Early Transcendentals

If u(t) = sin t, cos t, t) and v(t) = t, cos t, sin t, use Formula 4 of Theorem 3 to find ddt[u(t)v(t)]

Multivariable Calculus

Finding a Derivative In Exercises 27-40, use the limit definition to find the derivative to the function. See E...

Calculus: An Applied Approach (MindTap Course List)

A cylindrical glass of radius r and height L is filled with water and then tilted until the water remaining in ...

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 1-4, use the graph of the function f to find approximations of the given values. a. f(2) b. f(0) c...

Applied Calculus

Polynomials Complete the following table by stating whether the polynomial is a monomial, binomial, or trinomia...

Precalculus: Mathematics for Calculus (Standalone Book)

Solve the equations in Exercises 126. x43x3=0

Finite Mathematics and Applied Calculus (MindTap Course List)

Determining a Limit In Exercises 79 and 80, consider the function f(x)=x. Is limx0x=0 a true statement? Explain...

Calculus: Early Transcendental Functions

For each of the following sets of sample outcomes, use Formula 6.3 to construct the 99 confidence interval for ...

Essentials Of Statistics

For the following scores, find the value of each expression: X 3 2 4 2 a. X b. (X)2 c. X 2 d. (X 2)

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Air Pollution Nitrogen dioxide is a brown gas that impairs breathing. The amount of nitrogen dioxide present in...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Use the partial fraction command on your CAS to find a convenient expression for the partial sum, and then use ...

Calculus (MindTap Course List)

IRS: Tax Returns Almost everyone files (or will someday file) a federal income tax return. A research poll for ...

Understanding Basic Statistics

A sample of n = 7 scores has a mean of M = 5. After one new score is added to the sample, the new mean is found...

Statistics for The Behavioral Sciences (MindTap Course List)

How would you remove the discontinuity of f? In other words, how would you define f(2) in order to make f conti...

Single Variable Calculus

In problems 49-54, rationalize the denominator and then simpify. 51.

Mathematical Applications for the Management, Life, and Social Sciences

Data collected at Toronto Pearson International Airport suggests that an exponential distribution with mean val...

Probability and Statistics for Engineering and the Sciences

For Problems 5-54, perform the following operations with real numbers. Objectives 3-6 8-15

Intermediate Algebra

Convert the expressions in Exercises 6584 to power form. 4x23+x3/2623x2

Finite Mathematics

An end view and side view of a shaft are shown in Illustration 15 a. Find the diameter of the largest part of t...

Elementary Technical Mathematics

Kathy Hansen has a revolving credit account. The finance charge is calculated on the previous month's balance, ...

Contemporary Mathematics for Business & Consumers

In Exercises 11 to 14, use a calculator to find the indicated tangent ratio correct to four decimal places. tan...

Elementary Geometry For College Students, 7e

Graph one complete cycle for each of the following. In each case, label the axes so that the amplitude and peri...

Trigonometry (MindTap Course List)

True or False Label each of the following statements as either true or false. Every nonzero complex number ...

Elements Of Modern Algebra

Consider the following membership graphs of YOUNG and ADOI.ESCENT defined on X {x | 0 x 50}, where x is age i...

Mathematical Excursions (MindTap Course List)

Find the length of the curve. 3. 12x = 4y3 + 3y1, 1 y 3

Single Variable Calculus: Early Transcendentals

True or False? In Exercises 113-118, determine whether the statement is true or false. If it is false, explain ...

Calculus: Early Transcendental Functions (MindTap Course List)

Approximating Reciprocals Use the result of Exercise 35 to approximate (a) 13 and (b) 111 to three decimal plac...

Calculus of a Single Variable

In Exercises 1-18, construct a truth table for each compound proposition. (pq)~r

Finite Mathematics for the Managerial, Life, and Social Sciences

If the apothem of a square measures 5 cm, find the perimeter of the square.

Elementary Geometry for College Students

Finding a Binormal Vector In Exercises 47-52, find the vectors T and N and the binormal vector B=TN for the vec...

Multivariable Calculus

Find the recursive relation among the coefficients for the series solution to y″ = 2y.

Study Guide for Stewart's Multivariable Calculus, 8th

A bacteria population grows in such a way that after t hours its population is 1000 + 10t + t3. The growth rate...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Describe and explain the independent relationship between main effects and interactions.

Research Methods for the Behavioral Sciences (MindTap Course List)

The data in the table below are the percentage of drivers who are uninsured in each of the 50 U.S. states and t...

Introduction To Statistics And Data Analysis

Solve each of the following equations using the addition principle of equality. Check each answer. C5716=5716

Mathematics For Machine Technology

Fill in the blanks. logbMN= logbM________logbN

College Algebra (MindTap Course List)

Consider the Costello Music Company problem in exercise 48. The quarterly sales data follow. Year Quarter I Qua...

Statistics for Business & Economics, Revised (MindTap Course List)

Define independent, dependent, and extraneous variables and identify examples of each in an experiment.

Research Methods for the Behavioral Sciences (MindTap Course List)

The data from exercise 1 follow. xi 1 2 3 4 5 yi 3 7 5 11 14 The estimated regression equation for these data i...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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